10520100 has 54 divisors (see below), whose sum is σ = 32977490. Its totient is φ = 2805120.

The previous prime is 10520087. The next prime is 10520101. The reversal of 10520100 is 102501.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3326976 + 7193124 = 1824^2 + 2682^2 .

It is a super-2 number, since 2×10520100² = 221345008020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (10520101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4945 + ... + 6744.

Almost surely, 2^10520100 is an apocalyptic number.

10520100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10520100 is an abundant number, since it is smaller than the sum of its proper divisors (22457390).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10520100 is a wasteful number, since it uses less digits than its factorization.

10520100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11709 (or 11699 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 10520100 is about 3243.4703636691. The cubic root of 10520100 is about 219.1155954450.

Adding to 10520100 its reverse (102501), we get a palindrome (10622601).

The spelling of 10520100 in words is "ten million, five hundred twenty thousand, one hundred".